If `z=1/((2+3i)^2),` then `|z|` is
a. `1/13` b. `1/5` c. `1/12` d. none of these

If z=(1)/((2+3i)^(2)), then |z| is a.(1)/(13) b.(1)/(5) c.(1)/(12)d .non of these

If z=1/((1-i)(2+3i)), then |z| is (a) . 1 (b ). 1/sqrt(26) (c) . 5/sqrt(26) (d) . none of these

If z=(1)/((1-i)(2+3i)), then |z| is a.1 b.(1)/(sqrt(26)) c.(5)/(sqrt(26))d .non of these

If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2 (c) 1/4 (d) None of these

If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2 (c) 1/4 (d) None of these

If |z_1/z_2|=1 and arg (z_1z_2)=0 , then a. z_1 = z_2 b. |z_2|^2 = z_1*z_2 c. z_1*z_2 = 1 d. none of these

If |z_1/z_2|=1 and arg (z_1z_2)=0 , then a. z_1 = z_2 b. |z_2|^2 = z_1*z_2 c. z_1*z_2 = 1 d. none of these

If z=i log(2-sqrt3), then a. cosz=-1 b. (-1)/2 c. 1 d. 1/2

If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqrt(2)+1 c. sqrt(2)-1 d. none of these

If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqrt(2)+1 c. sqrt(2)-1 d. none of these